A Validated Methodology To Estimate The Reliability And Safety Of Suspension Bridge Cables

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Reliability and Safety of Cable-Supported Bridges

Author : Naiwei Lu
Publisher : CRC Press
ISBN 13 : 1000384160
Total Pages : 323 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Reliability and Safety of Cable-Supported Bridges by : Naiwei Lu

Download or read book Reliability and Safety of Cable-Supported Bridges written by Naiwei Lu and published by CRC Press. This book was released on 2021-06-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge design and construction technologies have experienced remarkable developments in recent decades, and numerous long-span bridges have been built or are under construction all over the world. Cable-supported bridges, including cable-stayed bridges and suspension bridges, are the main type of these long-span bridges, and are widely used in highways crossing gorges, rivers, and gulfs, due to their superior structural mechanical properties and beautiful appearance. However, cable-supported bridges suffer from harsh environmental effects and complex loading conditions, such as heavier traffic loads, strong winds, corrosion effects, and other natural disasters. Therefore, the lifetime safety evaluation of these long-span bridges considering the rigorous service environments is an essential task. Features: Presents a comprehensive explanation of system reliability evaluation for all aspects of cable-supported bridges. Includes a comprehensive presentation of the application of system reliability theory in bridge design, safety control, and operational management. Addresses fatigue reliability, dynamic reliability and seismic reliability assessment of bridges. Presents a complete investigation and case study in each chapter, allowing readers to understand the applicability for real-world scenarios. Reliability and Safety of Cable-Supported Bridges provides a comprehensive application and guidelines for system reliability techniques in cable-supported bridges. Serving as a practical educational resource for both undergraduate and graduate level students, practicing engineers, and researchers, it also intends to provide an intuitive appreciation for probability theory, statistical methods, and reliability analysis methods.

Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures

Author : George Deodatis
Publisher : CRC Press
ISBN 13 : 1315884887
Total Pages : 1112 pages
Book Rating : 4.3/5 (158 download)

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Book Synopsis Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures by : George Deodatis

Download or read book Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures written by George Deodatis and published by CRC Press. This book was released on 2014-02-10 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures contains the plenary lectures and papers presented at the 11th International Conference on STRUCTURAL SAFETY AND RELIABILITY (ICOSSAR2013, New York, NY, USA, 16-20 June 2013), and covers major aspects of safety, reliability, risk and life-cycle performance of str

Journal of Southeast University

Author :
Publisher :
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.8/5 (157 download)

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Book Synopsis Journal of Southeast University by :

Download or read book Journal of Southeast University written by and published by . This book was released on 2007 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1993 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Structural Health Monitoring for Suspension Bridges

Author : Yang Deng
Publisher : Springer
ISBN 13 : 9811333475
Total Pages : 244 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Structural Health Monitoring for Suspension Bridges by : Yang Deng

Download or read book Structural Health Monitoring for Suspension Bridges written by Yang Deng and published by Springer. This book was released on 2018-12-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents extensive information on structural health monitoring for suspension bridges. During the past two decades, there have been significant advances in the sensing technologies employed in long-span bridge health monitoring. However, interpretation of the massive monitoring data is still lagging behind. This book establishes a series of measurement interpretation frameworks that focus on bridge site environmental conditions, and global and local responses of suspension bridges. Using the proposed frameworks, it subsequently offers new insights into the structural behaviors of long-span suspension bridges. As a valuable resource for researchers, scientists and engineers in the field of bridge structural health monitoring, it provides essential information, methods, and practical algorithms that can facilitate in-service bridge performance assessments.

Cable Supported Bridges

Author : Niels J. Gimsing
Publisher : John Wiley & Sons
ISBN 13 : 1119951879
Total Pages : 760 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Cable Supported Bridges by : Niels J. Gimsing

Download or read book Cable Supported Bridges written by Niels J. Gimsing and published by John Wiley & Sons. This book was released on 2011-12-30 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourteen years on from its last edition, Cable Supported Bridges: Concept and Design, Third Edition, has been significantly updated with new material and brand new imagery throughout. Since the appearance of the second edition, the focus on the dynamic response of cable supported bridges has increased, and this development is recognised with two new chapters, covering bridge aerodynamics and other dynamic topics such as pedestrian-induced vibrations and bridge monitoring. This book concentrates on the synthesis of cable supported bridges, suspension as well as cable stayed, covering both design and construction aspects. The emphasis is on the conceptual design phase where the main features of the bridge will be determined. Based on comparative analyses with relatively simple mathematical expressions, the different structural forms are quantified and preliminary optimization demonstrated. This provides a first estimate on dimensions of the main load carrying elements to give in an initial input for mathematical computer models used in the detailed design phase. Key features: Describes evolution and trends within the design and construction of cable supported bridges Describes the response of structures to dynamic actions that have attracted growing attention in recent years Highlights features of the different structural components and their interaction in the entire structural system Presents simple mathematical expressions to give a first estimate on dimensions of the load carrying elements to be used in an initial computer input This comprehensive coverage of the design and construction of cable supported bridges provides an invaluable, tried and tested resource for academics and engineers.

Bridge Safety, Maintenance, Management, Life-Cycle, Resilience and Sustainability

Author : Joan Ramon Casas
Publisher : CRC Press
ISBN 13 : 1000798739
Total Pages : 2646 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Bridge Safety, Maintenance, Management, Life-Cycle, Resilience and Sustainability by : Joan Ramon Casas

Download or read book Bridge Safety, Maintenance, Management, Life-Cycle, Resilience and Sustainability written by Joan Ramon Casas and published by CRC Press. This book was released on 2022-06-27 with total page 2646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge Safety, Maintenance, Management, Life-Cycle, Resilience and Sustainability contains lectures and papers presented at the Eleventh International Conference on Bridge Maintenance, Safety and Management (IABMAS 2022, Barcelona, Spain, 11–15 July, 2022). This e-book contains the full papers of 322 contributions presented at IABMAS 2022, including the T.Y. Lin Lecture, 4 Keynote Lectures, and 317 technical papers from 36 countries all around the world. The contributions deal with the state-of-the-art as well as emerging concepts and innovative applications related to the main aspects of safety, maintenance, management, life-cycle, resilience, sustainability and technological innovations of bridges. Major topics include: advanced bridge design, construction and maintenance approaches, safety, reliability and risk evaluation, life-cycle management, life-cycle, resilience, sustainability, standardization, analytical models, bridge management systems, service life prediction, structural health monitoring, non-destructive testing and field testing, robustness and redundancy, durability enhancement, repair and rehabilitation, fatigue and corrosion, extreme loads, needs of bridge owners, whole life costing and investment for the future, financial planning and application of information and computer technology, big data analysis and artificial intelligence for bridges, among others. This volume provides both an up-to-date overview of the field of bridge engineering and significant contributions to the process of making more rational decisions on bridge safety, maintenance, management, life-cycle, resilience and sustainability of bridges for the purpose of enhancing the welfare of society. The volume serves as a valuable reference to all concerned with and/or involved in bridge structure and infrastructure systems, including students, researchers and practitioners from all areas of bridge engineering.

Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations

Author : Hiroshi Yokota
Publisher : CRC Press
ISBN 13 : 1000173755
Total Pages : 926 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations by : Hiroshi Yokota

Download or read book Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations written by Hiroshi Yokota and published by CRC Press. This book was released on 2021-04-20 with total page 926 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge Maintenance, Safety, Management, Life-Cycle Sustainability and Innovations contains lectures and papers presented at the Tenth International Conference on Bridge Maintenance, Safety and Management (IABMAS 2020), held in Sapporo, Hokkaido, Japan, April 11–15, 2021. This volume consists of a book of extended abstracts and a USB card containing the full papers of 571 contributions presented at IABMAS 2020, including the T.Y. Lin Lecture, 9 Keynote Lectures, and 561 technical papers from 40 countries. The contributions presented at IABMAS 2020 deal with the state of the art as well as emerging concepts and innovative applications related to the main aspects of maintenance, safety, management, life-cycle sustainability and technological innovations of bridges. Major topics include: advanced bridge design, construction and maintenance approaches, safety, reliability and risk evaluation, life-cycle management, life-cycle sustainability, standardization, analytical models, bridge management systems, service life prediction, maintenance and management strategies, structural health monitoring, non-destructive testing and field testing, safety, resilience, robustness and redundancy, durability enhancement, repair and rehabilitation, fatigue and corrosion, extreme loads, and application of information and computer technology and artificial intelligence for bridges, among others. This volume provides both an up-to-date overview of the field of bridge engineering and significant contributions to the process of making more rational decisions on maintenance, safety, management, life-cycle sustainability and technological innovations of bridges for the purpose of enhancing the welfare of society. The Editors hope that these Proceedings will serve as a valuable reference to all concerned with bridge structure and infrastructure systems, including engineers, researchers, academics and students from all areas of bridge engineering.

Bridge Maintenance, Safety, Management, Resilience and Sustainability

Author : Fabio Biondini
Publisher : CRC Press
ISBN 13 : 0203103386
Total Pages : 4119 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Bridge Maintenance, Safety, Management, Resilience and Sustainability by : Fabio Biondini

Download or read book Bridge Maintenance, Safety, Management, Resilience and Sustainability written by Fabio Biondini and published by CRC Press. This book was released on 2012-06-21 with total page 4119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge Maintenance, Safety, Management, Resilience and Sustainability contains the lectures and papers presented at The Sixth International Conference on Bridge Maintenance, Safety and Management (IABMAS 2012), held in Stresa, Lake Maggiore, Italy, 8-12 July, 2012. This volume consists of a book of extended abstracts (800 pp) Extensive collection of revised expert papers on recent advances in bridge maintenance, safety, management and life-cycle performance, representing a major contribution to the knowledge base of all areas of the field.

Maintenance, Monitoring, Safety, Risk and Resilience of Bridges and Bridge Networks

Author : Tulio Nogueira Bittencourt
Publisher : CRC Press
ISBN 13 : 1498777031
Total Pages : 653 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Maintenance, Monitoring, Safety, Risk and Resilience of Bridges and Bridge Networks by : Tulio Nogueira Bittencourt

Download or read book Maintenance, Monitoring, Safety, Risk and Resilience of Bridges and Bridge Networks written by Tulio Nogueira Bittencourt and published by CRC Press. This book was released on 2016-11-17 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintenance, Monitoring, Safety, Risk and Resilience of Bridges and Bridge Networks contains the lectures and papers presented at the Eighth International Conference on Bridge Maintenance, Safety and Management (IABMAS 2016), held in Foz do Iguaçu, Paraná, Brazil, 26-30 June, 2016. This volume consists of a book of extended abstracts and a DVD containing the full papers of 369 contributions presented at IABMAS 2016, including the T.Y. Lin Lecture, eight Keynote Lectures, and 360 technical papers from 38 countries. The contributions deal with the state-of-the-art as well as emerging concepts and innovative applications related to all main aspects of bridge maintenance, safety, management, resilience and sustainability. Major topics covered include: advanced materials, ageing of bridges, assessment and evaluation, bridge codes, bridge diagnostics, bridge management systems, composites, damage identification, design for durability, deterioration modeling, earthquake and accidental loadings, emerging technologies, fatigue, field testing, financial planning, health monitoring, high performance materials, inspection, life-cycle performance and cost, load models, maintenance strategies, non-destructive testing, optimization strategies, prediction of future traffic demands, rehabilitation, reliability and risk management, repair, replacement, residual service life, resilience, robustness, safety and serviceability, service life prediction, strengthening, structural integrity, and sustainability. This volume provides both an up-to-date overview of the field of bridge engineering as well as significant contributions to the process of making more rational decisions concerning bridge maintenance, safety, serviceability, resilience, sustainability, monitoring, risk-based management, and life-cycle performance using traditional and emerging technologies for the purpose of enhancing the welfare of society. It will serve as a valuable reference to all involved with bridge structure and infrastructure systems, including students, researchers and engineers from all areas of bridge engineering.

Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012)

Author : Subrata Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 8132207572
Total Pages : 1322 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) by : Subrata Chakraborty

Download or read book Proceedings of the International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) written by Subrata Chakraborty and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 1322 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Symposium on Engineering under Uncertainty: Safety Assessment and Management (ISEUSAM - 2012) is organized by Bengal Engineering and Science University, India during the first week of January 2012 at Kolkata. The primary aim of ISEUSAM 2012 is to provide a platform to facilitate the discussion for a better understanding and management of uncertainty and risk, encompassing various aspects of safety and reliability of engineering systems. The conference received an overwhelming response from national as well as international scholars, experts and delegates from different parts of the world. Papers received from authors of several countries including Australia, Canada, China, Germany, Italy, UAE, UK and USA, besides India. More than two hundred authors have shown their interest in the symposium. The Proceedings presents ninety two high quality papers which address issues of uncertainty encompassing various fields of engineering, i.e. uncertainty analysis and modelling, structural reliability, geotechnical engineering, vibration control, earthquake engineering, environmental engineering, stochastic dynamics, transportation system, system identification and damage assessment, and infrastructure engineering.

Mechanics of Structures and Materials XXIV

Author : Hong Hao
Publisher : CRC Press
ISBN 13 : 1351850210
Total Pages : 1966 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Mechanics of Structures and Materials XXIV by : Hong Hao

Download or read book Mechanics of Structures and Materials XXIV written by Hong Hao and published by CRC Press. This book was released on 2019-08-08 with total page 1966 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Structures and Materials: Advancements and Challenges is a collection of peer-reviewed papers presented at the 24th Australasian Conference on the Mechanics of Structures and Materials (ACMSM24, Curtin University, Perth, Western Australia, 6-9 December 2016). The contributions from academics, researchers and practising engineers from Australasian, Asia-pacific region and around the world, cover a wide range of topics, including: • Structural mechanics • Computational mechanics • Reinforced and prestressed concrete structures • Steel structures • Composite structures • Civil engineering materials • Fire engineering • Coastal and offshore structures • Dynamic analysis of structures • Structural health monitoring and damage identification • Structural reliability analysis and design • Structural optimization • Fracture and damage mechanics • Soil mechanics and foundation engineering • Pavement materials and technology • Shock and impact loading • Earthquake loading • Traffic and other man-made loadings • Wave and wind loading • Thermal effects • Design codes Mechanics of Structures and Materials: Advancements and Challenges will be of interest to academics and professionals involved in Structural Engineering and Materials Science.

Recommendations for Stay Cable Design, Testing and Installation

Author : Post-Tensioning Institute. Committee on Cable-Stayed Bridges
Publisher :
ISBN 13 : 9781931085038
Total Pages : 101 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Recommendations for Stay Cable Design, Testing and Installation by : Post-Tensioning Institute. Committee on Cable-Stayed Bridges

Download or read book Recommendations for Stay Cable Design, Testing and Installation written by Post-Tensioning Institute. Committee on Cable-Stayed Bridges and published by . This book was released on 2001 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in SI units, and re-organized into a Load and Resistance Factor Design (LRED) format, designed to be used with the AASHTO LRED Bridge Design Code.

Wind Effects on Cable-Supported Bridges

Author : You-Lin Xu
Publisher : John Wiley & Sons
ISBN 13 : 1118188306
Total Pages : 772 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Wind Effects on Cable-Supported Bridges by : You-Lin Xu

Download or read book Wind Effects on Cable-Supported Bridges written by You-Lin Xu and published by John Wiley & Sons. This book was released on 2013-03-07 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an in-depth guide to understanding wind effects on cable-supported bridges, this book uses analytical, numerical and experimental methods to give readers a fundamental and practical understanding of the subject matter. It is structured to systemically move from introductory areas through to advanced topics currently being developed from research work. The author concludes with the application of the theory covered to real-world examples, enabling readers to apply their knowledge. The author provides background material, covering areas such as wind climate, cable-supported bridges, wind-induced damage, and the history of bridge wind engineering. Wind characteristics in atmospheric boundary layer, mean wind load and aerostatic instability, wind-induced vibration and aerodynamic instability, and wind tunnel testing are then described as the fundamentals of the subject. State-of-the-art contributions include rain-wind-induced cable vibration, wind-vehicle-bridge interaction, wind-induced vibration control, wind and structural health monitoring, fatigue analysis, reliability analysis, typhoon wind simulation, non-stationary and nonlinear buffeting response. Lastly, the theory is applied to the actual long-span cable-supported bridges. Structured in an easy-to-follow way, covering the topic from the fundamentals right through to the state-of-the-art Describes advanced topics such as wind and structural health monitoring and non-stationary and nonlinear buffeting response Gives a comprehensive description of various methods including CFD simulations of bridge and vehicle loading Uses two projects with which the author has worked extensively, Stonecutters cable-stayed bridge and Tsing Ma suspension bridge, as worked examples, giving readers a practical understanding

Strengthening Forensic Science in the United States

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309142393
Total Pages : 348 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Strengthening Forensic Science in the United States by : National Research Council

Download or read book Strengthening Forensic Science in the United States written by National Research Council and published by National Academies Press. This book was released on 2009-07-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scores of talented and dedicated people serve the forensic science community, performing vitally important work. However, they are often constrained by lack of adequate resources, sound policies, and national support. It is clear that change and advancements, both systematic and scientific, are needed in a number of forensic science disciplines to ensure the reliability of work, establish enforceable standards, and promote best practices with consistent application. Strengthening Forensic Science in the United States: A Path Forward provides a detailed plan for addressing these needs and suggests the creation of a new government entity, the National Institute of Forensic Science, to establish and enforce standards within the forensic science community. The benefits of improving and regulating the forensic science disciplines are clear: assisting law enforcement officials, enhancing homeland security, and reducing the risk of wrongful conviction and exoneration. Strengthening Forensic Science in the United States gives a full account of what is needed to advance the forensic science disciplines, including upgrading of systems and organizational structures, better training, widespread adoption of uniform and enforceable best practices, and mandatory certification and accreditation programs. While this book provides an essential call-to-action for congress and policy makers, it also serves as a vital tool for law enforcement agencies, criminal prosecutors and attorneys, and forensic science educators.

Acceptance of Stay Cable Systems Using Prestressing Steels

Author : fib Fédération internationale du béton
Publisher : fib Fédération internationale du béton
ISBN 13 : 9782883940703
Total Pages : 98 pages
Book Rating : 4.9/5 (47 download)

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Book Synopsis Acceptance of Stay Cable Systems Using Prestressing Steels by : fib Fédération internationale du béton

Download or read book Acceptance of Stay Cable Systems Using Prestressing Steels written by fib Fédération internationale du béton and published by fib Fédération internationale du béton. This book was released on 2005-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fib Recommendation gives technical guidelines regarding design, testing, acceptance, installation, qualification, inspection and maintenance of stay cable systems using prestressing steels (strands, wires or bars) as tensile elements, which can be applied internationally. This Recommendation is applicable for cable-stayed bridges and other suspended structures such as roofs. It may also be used for hangers in arch structures and as suspension cables, as appropriate. This Recommendations has been formulated by an international working group comprising more than 20 experts from administrative authorities, universities, laboratories, owners, structural designers, suppliers of prestressing steels and stay cable suppliers. The text has been written to cover best construction practices around the world, and to provide material specifications that are considered to be the most advanced available at the time of preparing this text. For ease of use (for client, designer and cable supplier), the complex content has been arranged thematically according to the system components into chapters focusing on performance characteristics, requirements and acceptance criteria. Requirements and comments have been specified for all parties involved in design and construction in order to aim for a uniform and high quality and durability. The interfaces to the structural designer are highlighted. The essential subjects are: Design and detailing of stay cables including saddles and damping devices Durability requirements and corrosion protection systems Requirements for the materials Testing requirements for the stay cables Installation, tolerances, qualification of companies and personnel Inspection, maintenance and repair. This Recommendation does not cover the technology of stay cables whose tensile elements are ropes, locked-coil cables, etc. or which consist of composite materials. Nevertheless, in many cases the specified performance criteria may also be applicable to these systems, although numerical values given for the acceptance criteria may need to be adjusted. For these systems it has been difficult to provide multiple protective layers similar to those specified for stay cables made from prestressing steel and therefore, the quality of corrosion protection may not be equivalent. While extradosed cables have similarities with stay cables, generally agreed design and system acceptance criteria are not yet available and therefore, this type of cable is not covered.

Bridge Engineering

Author : Weiwei Lin
Publisher : Butterworth-Heinemann
ISBN 13 : 0128044330
Total Pages : 294 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Bridge Engineering by : Weiwei Lin

Download or read book Bridge Engineering written by Weiwei Lin and published by Butterworth-Heinemann. This book was released on 2017-05-11 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridge Engineering: Classifications, Design Loading, and Analysis Methods begins with a clear and concise exposition of theory and practice of bridge engineering, design and planning, materials and construction, loads and load distribution, and deck systems. This is followed by chapters concerning applications for bridges, such as: Reinforced and Prestressed Concrete Bridges, Steel Bridges, Truss Bridges, Arch Bridges, Cable Stayed Bridges, Suspension Bridges, Bridge Piers, and Bridge Substructures. In addition, the book addresses issues commonly found in inspection, monitoring, repair, strengthening, and replacement of bridge structures. - Includes easy to understand explanations for bridge classifications, design loading, analysis methods, and construction - Provides an overview of international codes and standards - Covers structural features of different types of bridges, including beam bridges, arch bridges, truss bridges, suspension bridges, and cable-stayed bridges - Features step-by-step explanations of commonly used structural calculations along with worked out examples